`ca_field_build_ideal_gamma`

Synopsis#include <flint/ca_field.h>

void ca_field_build_ideal_gamma(ca_field_t K, ca_ctx_t ctx)source

Adds the relations $\Gamma(x + n) = x (x+1) \cdots (x + n - 1) \Gamma(x)$ between generators $\Gamma(x + n)$ and $\Gamma(x)$ of K whose arguments differ by an integer $n$ with $|n| \le 10$ (and $\Gamma(x) = \Gamma(y)$ when $x = y$ ), provided the factors $x + k$ can be expressed in K. Called by ca_field_build_ideal.

Cite this page

The FLINT team, “ca_field_build_ideal_gamma (ca_field.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/ca_field/ca_field_build_ideal_gamma.html (generated 2026-11-02).

@misc{flint-doc-ca-field-ca-field-build-ideal-gamma,
  author       = {{The FLINT team}},
  title        = {{ca\_field\_build\_ideal\_gamma (ca\_field.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/ca_field/ca_field_build_ideal_gamma.html},
  note         = {Generated 2026-11-02}
}

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